asHomogeneousIdeal — Mathlib

English

One can package the homogeneous ideal associated to the carrier into a single object: asHomogeneousIdeal 𝒜 := ⟨carrier.asIdeal f_deg hm q, carrier.asIdeal.homogeneous f_deg hm q⟩.

Русский

Получаем однородный идеал 𝒜 как пара: ⟨carrier.asIdeal f_deg hm q, carrier.asIdeal.homogeneous f_deg hm q⟩.

LaTeX

$$$\text{asHomogeneousIdeal} : HomogeneousIdeal 𝒜 := ⟨carrier.asIdeal f_deg hm q, carrier.asIdeal.homogeneous f_deg hm q⟩$$$

Lean4

/-- For a prime ideal `q` in `A⁰_f`, the set `{a | aᵢᵐ/fⁱ ∈ q}` as a homogeneous ideal.
-/
def asHomogeneousIdeal : HomogeneousIdeal 𝒜 :=
  ⟨carrier.asIdeal f_deg hm q, carrier.asIdeal.homogeneous f_deg hm q⟩

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